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Sheet # 183 Critical Thinking

Name: _____________________ Date_____________

Use drawings, words, or numbers to explain how you got your answer.

The following figure is formed by 9 smaller cubes. Suppose all faces including the bottom face of the figure are painted red and then it is taken apart.

1) How many faces does each small cube have?

2) How many of the small cubes would have no faces painted red?

3) How many would have one face painted?

4) How many would have two faces painted?

5) How many would have three faces painted?

6) How many would have four faces painted?

7) How many would have five faces painted?

8) How many would have six faces painted?

1) How many faces does each small cube have?

2) How many of the small cubes would have no faces painted red?

3) How many would have one face painted?

4) How many would have two faces painted?

Answer: 1 cube, middle one of layer two

5) How many would have three faces painted?

Answer: 3 cubes in the bottom layer

6) How many would have four faces painted?

Answer: 2 cubes (corner cubes in the 2nd layer)

7) How many would have five faces painted?

Answer: 1 cube in the top layer + 2 cubes in the bottom layer = 3 cubes

8) How many would have six faces painted?

0 cube